Ph.D. candidate
Hey, I am Joris Koefler. Since October 2023, I have been pursuing my PhD under the supervision of Rainer Sinn in Bernd Sturmfels' nonlinear algebra group at the MPI MiS in Leipzig. Before that, I studied with Diane Maclagan at the University of Warwick and Christian Stump at Ruhr University Bochum.
Email: koefler@mis.mpg.de
Research Interest
My research is in real algebraic geometry, combinatorics and their application to scattering amplitudes in fundamental particle Physics. In particular, I am interested in semi-algebraic sets appearing as positive geometries, such as the amplituhedron, and their adjoint hypersurfaces. I am also part of the UNIVERSE+ project, where we explore more connections between fundamental Physics and Positive Geometry. I am also a contributor to the Math-AI benchmark science-bench. I also like to organize outreach events, for example our interview with Nima Arkani-Hamed.
Highlighted Publication
joint work with Dmitrii Pavlov, and Rainer Sinn
If you thought positive geometries must make genus zero pairs, you will like our Del Pezzo cube! It has a nice canonical form, but an elliptic curve in its residual arrangement, so it makes a genus 1 pair.